Programming and Data Structures · Binary Search Trees
Official IIT answer key · IIT Kharagpur · Audited Aug 2026
GATE CSE 2014 Set 3 Q39 · NAT · 2 marks
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Binary Search Trees (BSTs) in GATE CS test a balance of traversal mechanics, structural properties, worst-case vs. balanced-case complexities, and sequential insertion dynamics. Questions frequently test the fundamental invariant that an inorder traversal yields a strictly sorted sequence, enabling unique reconstruction from preorder or postorder alone. Recent years (2022–2026) show a noticeable shift toward structural constraints (complete BSTs, heap/array indexing, ancestor insertion order dependencies, and successor relationships).
Full Binary Search Trees guide →Suppose we have a balanced binary search tree T holding n numbers. We are given two numbers L and H and wish to sum up all the numbers in T that lie between L and H. Suppose there are m such numbers in T. If the tightest upper bound on the time to compute the sum is O(na b n + mc d n), the value of a + 10b + 100c + 1000d is …
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